My papers can be found on the arxiv.
Preprints and publications
- K-theoretic positivity for matroids (with C. Eur). Arxiv.
- Kapranov degrees (with J. Brakensiek, C. Eur, and S. Li). Arxiv.
- K-classes of delta-matroids and equivariant localization (with C. Eur and H. Spink). Arxiv.
- Rank functions and invariants of delta-matroids. Arxiv.
- K-rings of wonderful varieties and matroids (with S. Li, S. Payne, and N. Proudfoot). Arxiv.
- Signed permutohedra, delta-matroids, and beyond (with C. Eur, A. Fink, and H. Spink). Arxiv.
- The local motivic monodromy conjecture for simplicial nondegenerate singularities (with S. Payne and A. Stapledon). Arxiv.
- The Bergman fan of a polymatroid (with C. Crowley, J. Huh, C. Simpson, and B. Wang). Arxiv.
- Kazhdan-Lusztig polynomials of braid matroids (with L. Ferroni). To appear in Comm. Amer. Math. Soc.
- Intersection theory of polymatroids (with C. Eur). To appear in Int. Math. Res. Not. IMRN.
- Stellahedral geometry of matroids (with C. Eur and J. Huh). Forum Math. Pi 11 (2023). 48pp.
- Resolutions of local face modules, functoriality, and vanishing of local h-vectors (with S. Payne and A. Stapledon). Algebr. Comb. 6 (2023). 15pp.
- The Arakelov-Zhang pairing and Julia sets (with A. Bridy). Proc. Amer. Math. Soc. 149 (2021). 14pp.
- Inverse problems for minimal complements and maximal supplements (with N. Alon and N. Kravitz). J. Number Theory (2021). 18pp.
- Unions of Random Trees and Applications (with A. James, D. Montealegre, and A. Salmon). Disc. Math. 344 (2021). 13pp.
- Power maps in finite groups. Integers 19 (2019). 15pp.
Other writings
- Theorem of the base (with R. Cheng, L. Ji, and N. Olander). Stacks Project Expository Collection, 163-193, London Math. Soc. Lecture Note Ser., 480, Cambridge Univ. Press, Cambridge, 2022.
Slides
- Algebraic geometry of delta-matroids
- Nonvanishing criteria for local h-polynomials
- Geometry of polymatroids
Talks
I gave a talk about invariants of delta-matroids. The talk was aimed at experts.
Programming
I've written some code in Sage to compute certain intersection numbers on the Deligne-Mumford-Knudsen moduli space of stable curves of genus 0 with marked points, which we called "Kapranov degrees" and studied in this paper. The code can be found here.